Question

Question: 7 After seven years, the age of father will be 4 times the age of his daughter. If x stands for the present age of the daughter and y stands for the present age of the father, which of th following linear equations represents the above statement?

x+y-17=0
2xy-187=0
x+y+17=0
2xy+187=0​

Answer 1

Here is your answer

Explanation:

Step -1: Forming equations.

Let, present age of son = x

And, present age of father = 3x+3

3 years later, age of son = x+3

age of father = 3x+3+3=3x+6 ...(i)

According to the given condition, age of father = 10+2(x+3) ...(ii)

Step -2: Solving for x

From (i) and (ii)

∴3x+6=10+2(x+3)

⇒3x+6=10+2x+6

⇒3x−2x=10+6−6

⇒x=10

∴Present age of son = 10

and present age of father = 3x+3=3×10+3=33

Hence, son’s present age is 10 years and father’s